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Finding the Fourth Proportional to 456,319.12, 680,368.72 and 418,380.36

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Solution

The fourth proportional to 456,319.12, 680,368.72 and 418,380.36 is: 623,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,319.12 : 680,368.72 = 418,380.36 : x
  2. Step 2: Convert to fraction form
    456,319.12/680,368.72 = 418,380.36/x
  3. Step 3: Cross multiply
    456,319.12x = 680,368.72 × 418,380.36
  4. Step 4: Simplify right side
    456,319.12x = 284,652,910,006.34
  5. Step 5: Solve for x
    x = 284,652,910,006.34/456,319.12
  6. Step 6: Final answer
    x = 623,802.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.